# Factor 12y^2+16y+4 12y2+16y+4
Factor 4 out of 12y2+16y+4.
Factor 4 out of 12y2.
4(3y2)+16y+4
Factor 4 out of 16y.
4(3y2)+4(4y)+4
Factor 4 out of 4.
4(3y2)+4(4y)+4(1)
Factor 4 out of 4(3y2)+4(4y).
4(3y2+4y)+4(1)
Factor 4 out of 4(3y2+4y)+4(1).
4(3y2+4y+1)
4(3y2+4y+1)
Factor.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅1=3 and whose sum is b=4.
Factor 4 out of 4y.
4(3y2+4(y)+1)
Rewrite 4 as 1 plus 3
4(3y2+(1+3)y+1)
Apply the distributive property.
4(3y2+1y+3y+1)
Multiply y by 1.
4(3y2+y+3y+1)
4(3y2+y+3y+1)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
4((3y2+y)+3y+1)
Factor out the greatest common factor (GCF) from each group.
4(y(3y+1)+1(3y+1))
4(y(3y+1)+1(3y+1))
Factor the polynomial by factoring out the greatest common factor, 3y+1.
4((3y+1)(y+1))
4((3y+1)(y+1))
Remove unnecessary parentheses.
4(3y+1)(y+1)
4(3y+1)(y+1)
Factor 12y^2+16y+4

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